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Finding the Third Proportional to 958,822,483,692.90 and 2,086,436,391,799.50

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Solution

The third proportional to 958,822,483,692.90 and 2,086,436,391,799.50 is: 4,540,169,730,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    958,822,483,692.90 : 2,086,436,391,799.50 = 2,086,436,391,799.50 : x
  2. Step 2: Convert to fraction form
    958,822,483,692.90/2,086,436,391,799.50 = 2,086,436,391,799.50/x
  3. Step 3: Cross multiply
    958,822,483,692.90x = 2,086,436,391,799.50 × 2,086,436,391,799.50
  4. Step 4: Simplify right side
    958,822,483,692.90x = 4,353,216,817,025,316,810,653,696
  5. Step 5: Solve for x
    x = 4,353,216,817,025,316,810,653,696/958,822,483,692.90
  6. Step 6: Final answer
    x = 4,540,169,730,124.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.